Finite Math Examples

$y = - 6 e^{- x}$

Step 1

Set $- 6 e^{- x}$ equal to $0$ .

$- 6 e^{- x} = 0$

Step 2

Solve for $x$ .

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Step 2.1

Divide each term in $- 6 e^{- x} = 0$ by $- 6$ and simplify.

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Step 2.1.1

Divide each term in $- 6 e^{- x} = 0$ by $- 6$ .

$\frac{- 6 e^{- x}}{- 6} = \frac{0}{- 6}$

Step 2.1.2

Simplify the left side.

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Step 2.1.2.1

Cancel the common factor of $- 6$ .

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Step 2.1.2.1.1

Cancel the common factor.

$\frac{- 6 e^{- x}}{- 6} = \frac{0}{- 6}$

Step 2.1.2.1.2

Divide $e^{- x}$ by $1$ .

$e^{- x} = \frac{0}{- 6}$

Step 2.1.3

Simplify the right side.

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Step 2.1.3.1

Divide $0$ by $- 6$ .

$e^{- x} = 0$

Step 2.2

Take the natural logarithm of both sides of the equation to remove the variable from the exponent.

$\ln (e^{- x}) = \ln (0)$

Step 2.3

The equation cannot be solved because $\ln (0)$ is undefined.

Undefined

Step 2.4

There is no solution for $e^{- x} = 0$

No solution